57612 has 12 divisors (see below), whose sum is σ = 134456. Its totient is φ = 19200.

The previous prime is 57601. The next prime is 57637. The reversal of 57612 is 21675.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2389 + ... + 2412.

2⁵⁷⁶¹² is an apocalyptic number.

It is an amenable number.

57612 is an abundant number, since it is smaller than the sum of its proper divisors (76844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67228).

57612 is a wasteful number, since it uses less digits than its factorization.

57612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4806 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 57612 is about 240.0249986981. The cubic root of 57612 is about 38.6222571130.

Subtracting from 57612 its reverse (21675), we obtain a cube (35937 = 33³).

The spelling of 57612 in words is "fifty-seven thousand, six hundred twelve".